Isoperimetric Inequalities and Applications
Author: Catherine Bandle
Publisher: Pitman Publishing
Published: 1980
Total Pages: 248
ISBN-13:
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Schur-Convex Functions and Inequalities
Author: Huan-nan Shi
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2019-07-08
Total Pages: 343
ISBN-13: 3110606844
DOWNLOAD EBOOKThis two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.
Convexity
Author: Barry Simon
Publisher: Cambridge University Press
Published: 2011-05-19
Total Pages: 357
ISBN-13: 1139497596
DOWNLOAD EBOOKConvexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest of the book is divided into four parts: convexity and topology on infinite-dimensional spaces; Loewner's theorem; extreme points of convex sets and related issues, including the Krein–Milman theorem and Choquet theory; and a discussion of convexity and inequalities. The connections between disparate topics are clearly explained, giving the reader a thorough understanding of how convexity is useful as an analytic tool. A final chapter overviews the subject's history and explores further some of the themes mentioned earlier. This is an excellent resource for anyone interested in this central topic.
Handbook of Convex Geometry
Author: Bozzano G Luisa
Publisher: Elsevier
Published: 2014-06-28
Total Pages: 769
ISBN-13: 0080934404
DOWNLOAD EBOOKHandbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.
Integral Geometry And Convexity - Proceedings Of The International Conference
Author: Eric L Grinberg
Publisher: World Scientific
Published: 2006-04-20
Total Pages: 238
ISBN-13: 9814479276
DOWNLOAD EBOOKIntegral geometry, known as geometric probability in the past, originated from Buffon's needle experiment. Remarkable advances have been made in several areas that involve the theory of convex bodies. This volume brings together contributions by leading international researchers in integral geometry, convex geometry, complex geometry, probability, statistics, and other convexity related branches. The articles cover both recent results and exciting directions for future research.
Geometric Inequalities
Author: Yurii D. Burago
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 346
ISBN-13: 3662074419
DOWNLOAD EBOOKA 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.
Riemannian Geometry
Author: Isaac Chavel
Publisher: Cambridge University Press
Published: 1995-01-27
Total Pages: 402
ISBN-13: 9780521485784
DOWNLOAD EBOOKThis book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and those new notions and ideas motivated by curvature itself. Isoperimetric inequalities--the interplay of curvature with volume of sets and the areas of their boundaries--is reviewed along with other specialized classical topics. A number of completely new themes are created by curvature: they include local versus global geometric properties, that is, the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. Also featured is an ambitious "Notes and Exercises" section for each chapter that will develop and enrich the reader's appetite and appreciation for the subject.
Differential and Integral Inequalities
Author: Dorin Andrica
Publisher: Springer Nature
Published: 2019-11-14
Total Pages: 848
ISBN-13: 3030274071
DOWNLOAD EBOOKTheories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Proceedings of the International Conference Integral Geometry and Convexity
Author: Eric Grinberg
Publisher: World Scientific
Published: 2006
Total Pages: 238
ISBN-13: 9812565132
DOWNLOAD EBOOKIntegral geometry, known as geometric probability in the past, originated from Buffon's needle experiment. Remarkable advances have been made in several areas that involve the theory of convex bodies. This volume brings together contributions by leading international researchers in integral geometry, convex geometry, complex geometry, probability, statistics, and other convexity related branches. The articles cover both recent results and exciting directions for future research.
Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27
Author: G. Polya
Publisher: Princeton University Press
Published: 2016-03-02
Total Pages: 279
ISBN-13: 1400882664
DOWNLOAD EBOOKThe description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.
